Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups

@article{Sambale2015BrousIC,
  title={Brou{\'e}'s isotypy conjecture for the sporadic groups and their covers and automorphism groups},
  author={Benjamin Sambale},
  journal={IJAC},
  year={2015},
  volume={25},
  pages={951-976}
}
  • Benjamin Sambale
  • Published in IJAC 2015
  • Mathematics, Computer Science
  • Let B be a p-block of a finite group G with abelian defect group D such that S ≤ G ≤ Aut(S), S′ = S and S/Z(S) is a sporadic simple group. We show that B is isotypic to its Brauer correspondent in NG(D) in the sense of Broue. This has been done by Rouquier for principal blocks and it remains to deal with the non-principal blocks. 

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